Question

the histogram below displays the distribution of 49 ages at death due to trauma (accidents and homicides) that were observed in a certain hospital during a week. what percentage of deaths were individuals younger than 30? (round your percentage to 1 decimal place)

Explanation:

Step1: Identify frequencies for relevant age - groups

The age - groups younger than 30 are 10 - 19 and 20 - 29. From the histogram, the frequency for 10 - 19 is 10 and for 20 - 29 is 20.

Step2: Calculate total frequency

Sum up all the frequencies in the histogram: \(10 + 20+30 + 40+50+60+70+80 + 90+100=550\).

Step3: Calculate sum of relevant frequencies

The sum of frequencies for ages younger than 30 is \(10 + 20=30\).

Step4: Calculate the percentage

The percentage is calculated as \(\frac{\text{Sum of relevant frequencies}}{\text{Total frequency}}\times100\). So, \(\frac{30}{550}\times100=\frac{3000}{550}\approx 5.5\).

Answer:

5.5%